Information on Result #1745380
Digital (8, 17, 2207)-net over F81, using net defined by OOA based on linear OOA(8117, 2207, F81, 12, 9) (dual of [(2207, 12), 26467, 10]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(8117, 2208, F81, 4, 9) (dual of [(2208, 4), 8815, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8117, 2208, F81, 2, 9) (dual of [(2208, 2), 4399, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8117, 3281, F81, 2, 9) (dual of [(3281, 2), 6545, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8117, 6562, F81, 9) (dual of [6562, 6545, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8117, 6562, F81, 9) (dual of [6562, 6545, 10]-code), using
- discarding factors / shortening the dual code based on linear OOA(8117, 3281, F81, 2, 9) (dual of [(3281, 2), 6545, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8117, 2208, F81, 2, 9) (dual of [(2208, 2), 4399, 10]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.